GeneratedParameters

GeneratedParameters
is an option that specifies how parameters generated to represent the results of various symbolic operations should be named.

DetailsDetails

  • The typical default setting is GeneratedParameters->C.
  • The setting GeneratedParameters->f specifies that successive generated parameters should be named f[1], f[2], .
  • In typical cases, the are used to parameterize families of solutions to equations.
  • The usually correspond to free parameters, but are also sometimes used to represent arbitrary functions.
  • The have indices that start at 1 for each invocation of a particular symbolic operation.
  • GeneratedParameters->(Module[{C},C]&) guarantees that parameters are unique, even across different invocations of a function.
  • GeneratedParameters is an option to such functions as DSolve, RSolve, and Reduce.

ExamplesExamplesopen allclose all

Basic Examples  (3)Basic Examples  (3)

General solution of algebraic equation:

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General solution of differential equation:

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General solution of difference equation:

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Introduced in 2003
(5.0)